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Finding the Fourth Proportional to 6,397,865.86, 9,596,798.81 and 2,138,034.09

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Solution

The fourth proportional to 6,397,865.86, 9,596,798.81 and 2,138,034.09 is: 3,207,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397,865.86 : 9,596,798.81 = 2,138,034.09 : x
  2. Step 2: Convert to fraction form
    6,397,865.86/9,596,798.81 = 2,138,034.09/x
  3. Step 3: Cross multiply
    6,397,865.86x = 9,596,798.81 × 2,138,034.09
  4. Step 4: Simplify right side
    6,397,865.86x = 20,518,283,015,996.52
  5. Step 5: Solve for x
    x = 20,518,283,015,996.52/6,397,865.86
  6. Step 6: Final answer
    x = 3,207,051.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.